12313078272 has 280 divisors, whose sum is σ = 40253004000. Its totient is φ = 3729991680.

The previous prime is 12313078259. The next prime is 12313078273. The reversal of 12313078272 is 27287031321.

12313078272 is a `hidden beast` number, since 1 + 2 + 313 + 0 + 78 + 272 = 666.

It is a super-2 number, since 2×12313078272² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12313078273) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4104229 + ... + 4107227.

Almost surely, 2^12313078272 is an apocalyptic number.

12313078272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20126502000).

12313078272 is an abundant number, since it is smaller than the sum of its proper divisors (27939925728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12313078272 is an frugal number, since it uses more digits than its factorization.

12313078272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 12313078272 in words is "twelve billion, three hundred thirteen million, seventy-eight thousand, two hundred seventy-two".